Precharging a Capacitor with an Offset to Mitigate Control Delays in a Buck Converter

ABSTRACT

One example includes a power supply system. The system includes a power stage comprising at least one power switch that is periodically activated during an on-time of a duty-cycle based on a switching signal to generate an output voltage at an output. The system also includes a switching controller configured to generate the switching signal based on an amplitude of a capacitor voltage at a control node associated with a capacitor that defines the on-time of the duty-cycle as a function of the capacitor being periodically charged. The switching controller includes a pre-bias stage configured to apply a pre-bias charge to the capacitor via an offset voltage prior to a start of the on-time to pre-charge parasitic capacitance associated with the power supply system prior to the start of the on-time.

TECHNICAL FIELD

This disclosure relates generally to electronic systems, and more specifically to a power supply system.

BACKGROUND

Power supply circuits can be implemented in a variety of computer and/or wireless devices to provide power to circuit components therein. One example of a power supply system is a constant on-time or pseudo-constant on-time power supply in which the on-time of a switching duty-cycle associated with a power switch is based on a ratio of the input voltage and the desired output voltage. As an example, the power supply system can be required to have a very small on-time, such as based on having a high step-down ratio of the input voltage with respect to the output voltage. Such a very small on-time can result in errors associated with the duty-cycle based on delays associated with circuit components associated with the switching controller and/or the power stage.

SUMMARY

One example includes a power supply system. The system includes a power stage comprising at least one power switch that is periodically activated during an on-time of a duty-cycle based on a switching signal to generate an output voltage at an output. The system also includes a switching controller configured to generate the switching signal based on an amplitude of a capacitor voltage at a control node associated with a capacitor that defines the on-time of the duty-cycle as a function of the capacitor being periodically charged. The switching controller includes a pre-bias stage configured to apply a pre-bias charge to the capacitor via an offset voltage prior to a start of the on-time to pre-charge parasitic capacitance associated with the power supply system prior to the start of the on-time.

Another example includes a method for generating an output voltage. The method includes providing a first phase signal to a switching controller of a power supply system to activate a first control switch in response to a first logic-state of the first phase signal to provide an offset voltage to a capacitor node associated with a capacitor during a first portion of an off-time associated with a duty-cycle of at least one power switch controlled via a switching signal to apply a pre-bias charge to the capacitor. The switching signal can be provided to a power stage comprising the at least one power switch that is periodically activated during an on-time of the duty-cycle based on the switching signal to generate an output voltage at an output. The method also includes providing a second phase signal to the switching controller to activate a second control switch in response to a first logic-state of the second phase signal to provide a power voltage to the capacitor node to increase an amplitude of a capacitor voltage at the capacitor node from the offset voltage to a reference voltage during the on-time associated with the duty-cycle. The method further includes providing a third phase signal to the switching controller to activate a third control switch in response to a first logic-state of the third phase signal to discharge the capacitor during a second portion of the off-time.

Another example includes a power supply system. The system includes a power stage comprising a high-side switch that is activated during the on-time of the duty-cycle based on a switching signal and a low-side switch that is activated during an off-time of the duty-cycle based on the switching signal to generate an output voltage at an output. The system also includes a switching controller. The switching controller includes a comparator configured to generate the switching signal based on an amplitude of a capacitor voltage at a control node associated with a capacitor that defines the on-time of the duty-cycle as a function of the capacitor being periodically charged via a power voltage. The switching controller further includes a pre-bias stage configured to apply a pre-bias charge to the capacitor via an offset voltage prior to a start of the on-time to pre-charge parasitic capacitance associated with the power supply system prior to the start of the on-time.

BRIEF DESCRIPTION OF THE DRAWINGS

FIG. 1 illustrates an example of a power supply system.

FIG. 2 illustrates an example of a timing diagram.

FIG. 3 illustrates another example of a power supply system.

FIG. 4 illustrates another example of a timing diagram.

FIG. 5 illustrates an example of a method for generating an output voltage in a power supply system.

DETAILED DESCRIPTION

This disclosure relates generally to electronic systems, and more specifically to a power supply system. The power supply system can be implemented, for example, as a constant (e.g., pseudo-constant) on-time DC-DC converter configured to generate an output voltage based on an input voltage (e.g., as a buck converter). The power supply system includes a power stage that includes at least one power switch that is periodically activated during an on-time of a duty-cycle based on a switching signal to generate the output voltage at an output. As an example, the power stage can include a high-side switch and a low-side switch to provide a switching voltage at a switch node, such that the switching voltage provides a current through an inductor to provide the output voltage at the output. The power supply system also includes a switching controller that is configured to generate the switching signal, such as at a constant or pseudo-constant on-time, such as based on a ratio of the input voltage to the output voltage. The switching controller, for example, can include a comparator that generates the switching signal based on an amplitude of a capacitor voltage at a control node associated with a capacitor that defines the on-time of the duty-cycle as a function of the capacitor being periodically charged via a power voltage (e.g., the input voltage).

The switching controller can also include a pre-bias stage that is configured to pre-bias the capacitor. As an example, the pre-bias stage can include a buffer that is configured to generate an offset voltage that has an amplitude that defines the on-time by providing an initial offset amplitude of the capacitor voltage. Thus, the pre-bias stage can provide the offset voltage to the capacitor via a control switch at a time prior to the beginning of the on-time (e.g., during a portion of the off-time of the duty-cycle). Thus, the offset voltage can provide a pre-charge of the capacitor to set the capacitor voltage to approximately the amplitude of the offset voltage prior to the start of the on-time to substantially charge parasitic capacitance associated with the power supply system, and therefore provide a precise duration of the on-time while the capacitor is charged during the on-time. Accordingly, the power supply system can have a very short on-time for a high switching frequency, even while accommodating delays in the switching controller and the power stage with respect to transitions in the on-time to the off-time.

FIG. 1 illustrates an example of a power supply system 10. The power supply system 10 can generate an output voltage V_(OUT) based on an input voltage V_(IN) to provide power to a load that is coupled to an output 12, demonstrated in the example of FIG. 1 as a resistor R_(L). For example, the power supply system 10 can be configured as a buck converter. As an example, the power supply system 10 can be implemented in any of a variety of electronic circuit applications, such as in wireless communication devices, portable computing devices (e.g., laptop or tablet computers), or a variety of other electronic circuits. At least a portion of the power supply system 10 can be implemented on or as part of an integrated circuit (IC) chip.

The power supply system 10 includes a power stage 14 that is configured to generate the output voltage V_(OUT) based on a switching signal SWS. In the example of FIG. 1, the power stage 14 includes at least one power switch 16 that is periodically activated during an on-time of a duty-cycle to generate the output voltage at the output 12. As described herein, the term “duty-cycle” refers to the period of activation and deactivation of the at least one power switch 16 (e.g., a high-side power switch). As an example, the switch(es) 16 of the power stage 14 can include a high-side switch and a low-side switch that are alternately activated via the switching signal SWS to provide a switching voltage at a switch node (not shown). Thus, the switching voltage can provide a current through an inductor (not shown) to provide the output voltage V_(OUT) at the output 12.

The power supply system 10 also includes a switching controller 18 that is configured to generate the switching signal SWS that controls the at least one power switch 16 at the duty-cycle. As an example, the switching controller 18 can be configured to define the duty-cycle as having a constant or pseudo-constant on-time, such as based on a ratio of the input voltage V_(IN) to the output voltage V_(OUT). The power supply system 10 can implement the constant/pseudo-constant on-time to substantially optimize power and performance tradeoffs during various operational modes of associated electronic devices (e.g., low-power mode, sleep mode, high-performance mode, etc.). The switching controller 18, for example, can include a comparator that generates the switching signal based on an amplitude of a capacitor voltage at a control node associated with a capacitor that defines the on-time of the duty-cycle as a function of the capacitor being periodically charged via a power voltage (e.g., the input voltage V_(IN)) via a control switch that is activated and deactivated in response to at least one phase signal Φ. For example, the comparator can compare the capacitor voltage with a reference voltage, such as based on the output voltage V_(OUT), to provide the on-time as a constant or pseudo-constant on-time.

As an example, the power supply system 10 can be configured to have a high step-down ratio, which can require a very short on-time duration (e.g., between approximately 20 nanoseconds and approximately 50 nanoseconds) of the duty-cycle. Given that the reference voltage for generating the switching signal SWS can be based on a ratio of the input voltage V_(IN) and the output voltage V_(OUT), the on-time can be based on such a ratio. For example, for a switching frequency of approximately 1 MHz, and for an output voltage V_(OUT) of approximately 1 V and input voltage V_(IN) of approximately 21 V, and for a switching period T_(S) of approximately 1 μs, the on-time can be defined as V_(OUT)/V_(IN)*T_(S)=˜47 nanoseconds. However, upon a change of state (e.g., falling-edge) of switching signal SWS, additional electronics may introduce delays to the change of switching of the switch(es) 16 in the power stage 14. Thus, to compensate for such delays, the voltage across the capacitor can be provided with an additional offset voltage, such that the increasing voltage associated with the capacitor achieves the reference voltage amplitude sooner than if it would start increasing from zero volts. However, parasitic capacitance associated with the circuit components of the switching controller 18 can be unpredictable, and can delay the ramp increase of the capacitor voltage when the offset voltage and the power voltage are introduced to increase the capacitor voltage at the beginning of the on-time, thus delaying the on-time.

In the example of FIG. 1, the switching controller 18 includes a pre-bias stage 20 that can be configured to pre-bias the capacitor at a time prior to the start of the on-time. As an example, the pre-bias stage 20 can include a buffer that is configured to generate an offset voltage that has an amplitude that defines the on-time by compensating for the change-of-state delays that can be introduced by the circuitry in the switching controller 18 and/or the power stage 14 (e.g., the comparator and/or a switch driver). As an example, the pre-bias stage 20 can provide the offset voltage to the capacitor via a control switch, such as activated and deactivated in response to one of the phase signals Φ, at a time prior to the beginning of the on-time (e.g., during a portion of the off-time of the duty-cycle). Thus, the offset voltage can provide a pre-charge of the capacitor to set the capacitor voltage to approximately the amplitude of the offset voltage prior to the start of the on-time to substantially charge the parasitic capacitance associated with the power supply system 10. Accordingly, the pre-charging of the capacitor can provide a more predictable increase of the capacitor voltage, and thus a more predictable on-time duration, to allow for a very short on-time for a high switching frequency.

FIG. 2 illustrates another example of a power supply system 50. The power supply system 50 can correspond to the power supply system 10 in the example of FIG. 1, and can thus be configured as a buck converter to generate an output voltage V_(OUT) in any of a variety of electronic circuit applications (e.g., a wireless communication device or portable computing device).

The power supply system 50 includes a switching controller 52 and a power stage 54. The switching controller 52 is configured to generate the switching signal SWS based on an input voltage V_(IN) and a reference voltage V_(REF). As an example, the reference voltage V_(REF) can be based on the output voltage V_(OUT), such as based on an average value of the output voltage V_(OUT) plus a voltage across a DC resistance of an output inductor L_(OUT) (e.g., by low-pass filtering an associated switching node). For example, as described in greater detail herein, the switching controller 58 can be configured to set a duty-cycle of a power switch as having a constant or pseudo-constant on-time, such as based on a ratio of the input voltage V_(IN) to the output voltage V_(OUT). The switching controller 52 includes a comparator 56 that is configured to compare a capacitor voltage V_(CAP) at a node 58 that is coupled to a non-inverting input with a reference voltage V_(REF) at an inverting input. The comparator 56 is thus configured to generate the switching signal SWS.

In the example of FIG. 2, the capacitor voltage V_(CAP) is associated with a capacitor C₁ that interconnects the node 58 and a low-voltage rail (e.g., ground). The capacitor voltage V_(CAP) has an amplitude that is controlled via a first control switch SW₁ that is activate and deactivated by a first phase signal Φ₁, and via a second control switch SW₂ that is activate and deactivated by a second phase signal Φ₂. In response to activation of the first control switch SW₁ via the first phase signal Φ₁, the capacitor C₁ is charged via a current source 60 that generates a current I_(C) and which is arranged in parallel with a resistor R₁ that interconnects the first control switch SW₁ with the input voltage V_(IN). As an example, the current I_(C) can be approximately equal to the capacitor voltage V_(CAP) divided by the resistance R₁. Therefore, the current I_(C) and the current provided through the resistor R₁ can charge the capacitor C₁ to provide a ramp increase of the amplitude of the capacitor voltage V_(CAP). Accordingly, while the capacitor voltage V_(CAP) increases, the comparator 56 can assert the switching signal SWS during the on-time. In response to the amplitude of the capacitor voltage V_(CAP) being greater than the reference voltage V_(REF), the comparator 56 can de-assert the switching signal SWS. The second phase signal I₂ can be activated to couple the capacitor node 58 to ground to set the capacitor voltage V_(CAP) to approximately zero and discharge the capacitor C₁.

The power stage 54 includes a switch driver 62 that is configured to generate an first switch voltage V_(N1) and an second switch voltage V_(N2) based on the switching signal SWS. The power stage 54 includes a high-side switch, demonstrated as an N-channel field effect transistor (FET) N₁ that interconnects the input voltage V_(IN) and a switch node 64 and which is controlled by the first switch voltage V_(N1). Similarly, the power stage 54 includes a low-side switch, demonstrated as an N-channel FET N₂ that interconnects the switch node 64 and ground and which is controlled by the second switch voltage V_(N2). Thus, the high-side switch N₁ is activated approximately during the on-time of the switching signal SWS to provide the input voltage V_(IN) to set a switching voltage V_(SW) at the switch node 64 approximately equal to the input voltage V_(IN), and the low-side switch N₂ is activated approximately during the off-time of the switching signal SWS to sink the switching voltage V_(SW) to ground. The power stage 54 also includes an output inductor L_(OUT) and an output capacitor C_(OUT) that are configured to filter the switching voltage V_(SW) to generate the output voltage V_(OUT) at an output node 66.

As described earlier, the power supply system 50 can be configured to have a high step-down ratio, which can require a very short on-time duration (e.g., approximately 20-50 nanoseconds) of the duty-cycle. As also described earlier, some of the electronic components may introduce delays between the changes of state of phase signals Φ₁ and Φ₂, the switching signal SWS, and the changes in amplitude of the first switch voltage V_(N1) and the second switch voltage V_(N2). For example, the comparator 56 can introduce a delay between the changes of state of the phase signals Φ₁ and Φ₂ relative to the switching signal SWS, and the switch driver 62 can introduce an additional delay between the changes of state of the switching signal SWS and the changes in amplitude of the switch voltages V_(N1) and V_(N2). These additional delays can affect the desired on-time of the activation of the high-side switch N₁, and can be compensated for adjusting the on-time of the duty-cycle by introducing an offset voltage V_(OFF) to the capacitor voltage V_(CAP), such that the ramp increase of the capacitor voltage V_(CAP) achieves the amplitude of the reference voltage V_(REF) in less time to provide an on-time activation of the high-side switch N₁ that compensates for the delays of the comparator 56 and the switch driver 62.

The switching controller 52 includes a pre-bias stage 68 that is configured to generate the offset voltage V_(OFF). In the example of FIG. 2, the pre-bias stage 68 includes a resistor R₂ and a resistor R₃ that are arranged as a voltage-divider configured to generate a control voltage V_(CTRL) from the input voltage V_(IN). As an example, the resistors R₂ and R₃ can be fabrication matched (e.g., fabricated from the same area on a common silicon wafer), such that the control voltage V_(CTRL) can remain substantially stable with respect to temperature and process variations. In the example of FIG. 2, the resistor R₃ is demonstrated as a trimmable resistor, such that the control voltage V_(CTRL) can be set to a desired amplitude, such as to correspond to a desired on-time of the switching signal SWS. For example, the resistance of the resistor R₃ can be trimmed to set the amplitude of the control voltage V_(CTRL) based on the desired on-time of the switching signal SWS, which can be based on a known delay associated with the comparator 56 and the switch driver 62. As an example, the resistor R₂ can have a resistance magnitude that is approximately equal to the resistance R₁ minus the resistance R₃.

The control voltage V_(CTRL) can be provided to an inverting input of an operational amplifier (OP-AMP) 70 that is arranged as a buffer based on having an output that is coupled to the inverting input. Thus, the OP-AMP 70 is configured to generate the offset voltage V_(OFF). The pre-bias stage 68 further includes a third control switch SW₃ that is activated and deactivated via a third phase signal T. The third control switch SW₃ interconnects the output of the OP-AMP 70 with the capacitor node 58, such that when the third control switch SW₃ is activated (i.e., closed), the offset voltage V_(OFF) is provided to the capacitor node 58. For example, the phase signals Φ₁, Φ₂, and 101 ₃ can be activated in a mutually exclusive sequence to control the amplitude of the capacitor voltage V_(CAP). Thus, at a time prior to the start of the on-time of the duty-cycle, and thus while the control switches SW₁ and SW₂ are deactivated, the third control switch SW₃ can be activated to provide the offset voltage V_(OFF) to the capacitor node 58 to pre-charge the capacitor C₁ via the offset voltage V_(OFF), and thus set the capacitor voltage V_(CAP) approximately equal to the offset voltage V_(OFF). As an example, the offset voltage V_(OFF) can have an amplitude that can be expressed as:

V _(OFF) =K*V _(IN)=(R ₃/(R ₃ +R ₂))*V _(IN)   Equation 1

-   -   Where: K is set to a delay time associated with the comparator         56 plus a delay time associated with the switch driver 62,         divided by the switching period.

Thus, the offset voltage V_(OFF) can likewise charge the parasitic capacitance of the electronic components of the switching controller 52 (e.g., the comparator 56). As a result, in response to activation of the first control switch SW₁, the capacitor voltage V_(CAP) can begin to increase from a first amplitude approximately equal to the offset voltage V_(OFF) to a second amplitude approximately equal to the reference voltage V_(REF) without any delay resulting from parasitic capacitance associated with the circuit components of the switching controller 52. Accordingly, the on-time of the activation of the high-side switch N₁ can be very precisely controlled. Additionally, as an example, at the system level, the respective delays of the comparator 56 and the switch 62 can be predetermined for recommended external power FETs (e.g., corresponding to the high-side switch N₁ and/or the low-side switch N₂), as such delays can be characterized well during design of the IC in which the power supply system 50 is fabricated. Additionally, the resistor R₃ can be appropriately trimmed to provide suitable resistance to program the offset voltage V_(OFF) for the on-time compensation described herein. Therefore, the operation of the pre-bias stage 68 can be scalable across different designs of the power supply system 50 that implement respective different designs for one or more of the comparator 56, the switch driver 62, and the high-side switch N₁ (e.g., provided externally with respect to the IC).

It is to be understood that the power supply system 50 is not intended to be limited to the example of FIG. 2. As an example, the power supply system 50 is demonstrated simplistically for brevity, such that the power supply system 50 that includes the switching controller 52, and thus the pre-bias stage 68, can include additional circuit components. For example, the power supply system 50 can also include a boot-strap capacitor, a feedback system associated with the output voltage V_(OUT) (e.g., including a voltage-divider), a digital interface for controlling the switching signals, etc. Accordingly, the power supply system 50 can be implemented in a variety of ways. Furthermore, the operation of the pre-bias stage 68 can be implemented in a variety of other types of power supply systems, such as, for example, integrated FET DC-DC converters.

FIG. 3 illustrates an example of a timing diagram 100. The timing diagram 100 can correspond to the operation of the power supply system 50 in the example of FIG. 2. Particularly, the timing diagram 100 demonstrates the capacitor voltage V_(CAP) and the first switch voltage V_(N1) plotted as a function of time. Therefore, reference is to be made to the example of FIG. 2 in the following description of the example of FIG. 3.

The timing diagram 100 begins during an off-time of the duty-cycle, with the capacitor voltage V_(CAP) and the first switch voltage V_(N1) having respective amplitudes of approximately zero. At a time T₀, the control switch SW₂ can be deactivated via the second phase signal Φ₂ and the control switch SW₃ can be activated via the third phase signal Φ₃ to provide the offset voltage V_(OFF) to the capacitor node 58. In response the capacitor C₁ can be pre-charged to set the capacitor voltage V_(CAP) to approximately the amplitude of the offset voltage V_(OFF). In the example of FIG. 3, the amplitude of the capacitor voltage V_(CAP) is demonstrated as increasing gradually, as demonstrated at 102, based on the parasitic capacitance of the circuit components of the switching controller 52. Therefore, the offset voltage V_(OFF), when provided to the capacitor C₁ at the capacitor node 58, pre-charges the capacitor C₁ as well as the parasitic capacitance associated with the electronic circuit components of the power supply system 50. At a time T₁, the parasitic capacitance of the electronic circuit components of the power supply system 50 is substantially fully charged, such that the capacitance voltage V_(CAP) has an amplitude that is set to approximately the amplitude of the offset voltage V_(OFF).

At a time T₂, the control switch SW₃ can be deactivated via the third phase signal Φ₃ and the control switch SW₁ can be activated via the first phase signal Φ₁ to provide the power voltage (e.g., the current I_(C) and the current through the resistor R₁ from the input voltage V_(IN)) to the capacitor node 58. Therefore, the capacitor voltage V_(CAP) begins to increase from the amplitude of the offset voltage V_(OFF) in a linear manner. In response to the increase of the capacitor voltage V_(CAP), the switching signal SWS (not shown in the example of FIG. 3) is asserted logic-high to deactivate the second switch voltage V_(N2) and to activate the first switch voltage V_(N1). In the example of FIG. 3, the activation of the first switch voltage V_(N1) is substantially concurrent with the time T₂. Therefore, the timing diagram 100 demonstrates the beginning of the on-time T_(ON) associated with the increase of the capacitor voltage V_(CAP) begins, and thus the activation of the high-side switch N₁ to provide the input voltage V_(IN) to the switch node 64.

The capacitor voltage V_(CAP) increases until the capacitor voltage V_(CAP) is just greater than the reference voltage V_(REF) at a time T₃. At the time T₃, the comparator 56 can de-assert the switching signal SWS. Substantially concurrently at the time T₃, the control switch SW₁ can be deactivated via the first phase signal Φ₁ and the control switch SW₂ can be activated via the second phase signal Φ₂ to short the capacitor node 58 to ground to set the capacitor voltage V_(CAP) to approximately zero amplitude and to discharge the capacitor C₁. In response to de-assertion of the switching signal SWS, the switch driver 62 can deactivate the first switch voltage V_(N1) and can activate the second switch voltage V_(N2). It is to be understood that the switch driver 62 can be configured to introduce an intentional delay between the changes of the first switch voltage V_(N1) and the second switch voltage V_(N2) to substantially mitigate a shoot-through of the input voltage V_(IN) to ground. However, based on delays associated with both the comparator 56 and the switch driver 62, the first switch voltage V_(N1) does not change to a zero amplitude until a subsequent time T₄. Therefore, the on-time T_(ON) concludes at the time T₄. Accordingly, the on-time T_(ON) is based on the amplitude of the offset voltage V_(OFF), the slope of the increase of the capacitor voltage V_(CAP), the amplitude of the reference voltage V_(REF), and the delays associated with both the comparator 56 and the switch driver 62. However, based on the pre-charging of the capacitor C₁, the capacitor voltage V_(CAP) can increase predictably and substantially immediately from the amplitude of the offset voltage V_(OFF), thus providing a more precise on-time of the duty-cycle of the power switch N₁.

As described previously, the phase signals Φ₁, Φ₂, and Φ₃ can be activated in a mutually exclusive sequence to control the amplitude of the capacitor voltage V_(CAP). FIG. 4 illustrates another example of a timing diagram 150. The timing diagram 150 can correspond to the operation of the power supply system 50 in the example of FIG. 2. Particularly, the timing diagram 150 demonstrates the first phase signal Φ₁, the second phase signal Φ₂, the third phase signal Φ₃, and the capacitor voltage V_(CAP) plotted as a function of time. Therefore, reference is to be made to the example of FIG. 2 in the following description of the example of FIG. 4.

At a time prior to a time T₀, the power switch N₁ can be in a first portion of an off-time of the duty-cycle. At the time T₀, the second phase signal Φ₂ is de-asserted and the third phase signal Φ₃ is asserted. In response, the control switch SW₂ is deactivated via the second phase signal Φ₂ and the control switch SW₃ is activated via the third phase signal Φ₃ to provide the offset voltage V_(OFF) to the capacitor node 58. In response the capacitor C₁ can be pre-charged to set the capacitor voltage V_(CAP) to approximately the amplitude of the offset voltage V_(OFF) during a second portion of the off-time of the power switch N₁. In the example of FIG. 4, the amplitude of the capacitor voltage V_(CAP) is demonstrated as increasing gradually based on the parasitic capacitance of the circuit components of the switching controller 52. Therefore, the offset voltage V_(OFF), when provided to the capacitor C₁ at the capacitor node 58, pre-charges the capacitor C₁ as well as the parasitic capacitance associated with the electronic circuit components of the power supply system 50 to set the amplitude of the capacitor voltage V_(CAP) equal to approximately the amplitude of the offset voltage V_(OFF).

At a time T₁, the third phase signal Φ₃ is de-asserted and the first phase signal Φ₁ is asserted. In response, the control switch SW₃ is deactivated via the third phase signal Φ₃ and the control switch SW₁ is activated via the first phase signal Φ₁ to provide the power voltage (e.g., the current I_(C) and the current through the resistor R₁ from the input voltage V_(IN)) to the capacitor node 58. Therefore, the capacitor voltage V_(CAP) begins to increase from the amplitude of the offset voltage V_(OFF) in a linear manner. Based on the pre-charge of the capacitor C₁, the capacitor voltage V_(CAP) begins to increase immediately, without any delays associated with the parasitic capacitance of the electronic circuit components of the power supply system 50. The increase of the capacitor voltage V_(CAP) can thus begin the on-time of the activation of the power switch N₁ in the power stage 62.

At a time T₂, the first phase signal Φ₁ is de-asserted and the second phase signal Φ₂ is asserted. In response, the control switch SW₁ is deactivated via the first phase signal Φ₁ and the control switch SW₂ is activated via the second phase signal Φ₂ to short the capacitor node 58 to ground to set the capacitor voltage V_(CAP) to approximately zero amplitude and to discharge the capacitor C₁. Therefore, the decrease of the capacitor voltage V_(CAP) to approximately zero amplitude can begin the off-time of the duty-cycle of the power switch N₁, after the delays associated with the comparator 56 and the switch driver 62. The sequence of activation of the control switches SW₁, SW₂, and SW₃ via the respective phase signals Φ₁, Φ₂, and Φ₃ can thus repeat beginning at a time T₃. Therefore, the sequential activation of the control switches SW₁, SW₂, and SW₃ via the respective phase signals Φ₁, Φ₂, and Φ₃ can provide a more precise control of the on-time of the duty-cycle of the power switch N₁ for generation of the amplitude of the output voltage V_(OUT) in a more accurate manner.

In view of the foregoing structural and functional features described above, a method in accordance with various aspects of the present disclosure will be better appreciated with reference to FIG. 5. While, for purposes of simplicity of explanation, the method of FIG. 5 is shown and described as executing serially, it is to be understood and appreciated that the present disclosure is not limited by the illustrated order, as some aspects could, in accordance with the present disclosure, occur in different orders and/or concurrently with other aspects from that shown and described herein. Moreover, not all illustrated features may be required to implement a method in accordance with an aspect of the present disclosure.

FIG. 5 illustrates a method 200 for generating an output voltage (e.g., the output voltage V_(OUT)). At 202, a first phase signal (e.g., the third phase signal Φ₃) is provided to a switching controller (e.g., the switching controller 18) of a power supply system (e.g., the power supply system 10) to activate a first control switch (e.g., the third control switch SW₃) in response to a first logic-state of the first phase signal to provide an offset voltage (e.g., the offset voltage V_(OFF)) to a capacitor node (e.g., the capacitor node 58) associated with a capacitor (e.g., the capacitor C₁) during a first portion of an off-time associated with a duty-cycle of at least one power switch (e.g., the power switch(es) 16) controlled via a switching signal (the switching signal SWS) to apply a pre-bias charge to the capacitor. The switching signal can be provided to a power stage (the power stage 14) comprising the at least one power switch that is periodically activated during an on-time of the duty-cycle based on the switching signal to generate the output voltage at an output (e.g., the output 12). At 204, a second phase signal (e.g., the first phase signal Φ₁) is provided to the switching controller to activate a second control switch (e.g., the first control switch SW₁) in response to a first logic-state of the second phase signal to provide a power voltage (e.g., the voltage V_(IN)) to the capacitor node to increase an amplitude of a capacitor voltage at the capacitor node from the offset voltage to a reference voltage (e.g., the reference voltage V_(REF)) during the on-time associated with the duty-cycle. At 206, a third phase signal (e.g., the second phase signal Φ₂) is provided to the switching controller to activate a third control switch (e.g., the second control switch SW₂) in response to a first logic-state of the third phase signal to discharge the capacitor during a second portion of the off-time.

What have been described above are examples of the disclosure. It is, of course, not possible to describe every conceivable combination of components or method for purposes of describing the disclosure, but one of ordinary skill in the art will recognize that many further combinations and permutations of the disclosure are possible. Accordingly, the disclosure is intended to embrace all such alterations, modifications, and variations that fall within the scope of this application, including the appended claims. 

1. A power supply system comprising: a power stage including at least one power switch that is periodically activated during an on-time of a duty-cycle based on a switching signal to generate an output voltage at an output; and a switching controller including a capacitor coupled to a control node, the switching controller configured to generate the switching signal based on an amplitude of a capacitor voltage at the control node that defines the on-time of the duty-cycle as a function of the capacitor being periodically charged, the switching controller including a pre-bias stage configured to apply a pre-bias charge to the capacitor via an offset voltage prior to a start of the on-time to pre-charge capacitance associated with the power supply system prior to the start of the on-time, the switching controller including; a first control switch that is activated in response to a first phase signal to provide the offset voltage to the capacitor node via a voltage buffer to provide the pre-bias charge; and a second control switch that is activated in response to a second phase signal to provide a power voltage to the capacitor node to charge the capacitor during the on-time; and a third control switch that is activated in response to a third phase signal to discharge the capacitor during a first portion of the off-time, wherein the third control switch is deactivated and the first control switch is activated during a remaining portion of the off-time.
 2. (canceled)
 3. The system of claim 1, in which the first phase signal is de-asserted approximately concurrently with assertion of the second phase signal in a sequence corresponding to a transition from the off-time to the on-time of the duty-cycle.
 4. (canceled)
 5. The system of claim 1, in which the pre-bias stage includes: a voltage-divider configured to generate a control voltage based on an input voltage; a buffer configured to generate the offset voltage based on the control voltage; and a control switch interconnecting an output of the buffer and the capacitor node and which is activated prior to the start of the on-time to provide the offset voltage to the capacitor node to pre-charge the capacitor.
 6. The system of claim 5, in which the voltage-divider includes a fixed resistor and a trimmable resistor, the trimmable resistor having a resistance value that is set to define an amplitude of the offset voltage, in which a duration of the on-time is defined based on the amplitude of the offset voltage, such that the on-time is scalable based on selected circuit characteristics of at least one of the power stage and the switching controller.
 7. The system of claim 6, in which the offset voltage is defined as: VOFF=K*VIN=(R3/(R3+R2))*VIN; Wherein: VOFF is the offset voltage; VIN is the input voltage; R2 is a resistance of the fixed resistor; R3 is a resistance of the trimmable resistor; and K is set to a predetermined delay time associated with at least one of the power stage and the switching controller divided by a switching period.
 8. The system of claim 5, in which the voltage-divider includes a pair of fabrication-matched resistors to generate the control voltage as constant with respect to temperature variations.
 9. The system of claim 1, in which the offset voltage is set to an amplitude that defines the on-time of the duty-cycle corresponding to a pseudo-constant duty-cycle.
 10. The system of claim 1, in which the at least one power switch associated with the power stage includes a high-side switch that is activated during the on-time of the duty-cycle and a low-side switch that is activated during an off-time of the duty-cycle.
 11. An integrated circuit (IC) chip comprising at least the power stage of the supply system of claim 1, the power stage including at least one integrated field-effect transistor (FET).
 12. A method for generating an output voltage, the method comprising: providing a first phase signal to a switching controller of a power supply system to activate a first control switch in response to a first logic-state of the first phase signal to provide an offset voltage to a capacitor coupled to a capacitor node during a first portion of an off-time, associated with a duty-cycle of at least one power switch, controlled via a switching signal to apply a pre-bias charge to the capacitor, the switching signal being provided to a power stage including the at least one power switch that is periodically activated during an on-time of the duty-cycle based on the switching signal to generate an output voltage at an output; providing a second phase signal to the switching controller to activate a second control switch in response to a first logic-state of the second phase signal to provide a power voltage to the capacitor node to increase an amplitude of a capacitor voltage at the capacitor node from the offset voltage to a reference voltage during the on-time associated with the duty-cycle; and providing a third phase signal to the switching controller to activate a third control switch in response to a first logic-state of the third phase signal to discharge the capacitor during a second portion of the off-time.
 13. The method of claim 12, in which providing the first phase signal, the second phase signal, and the third phase signal includes providing the first logic state of each of the first phase signal, the second phase signal, and the third phase signal mutually exclusively in a repeating sequence.
 14. The method of claim 12, in which providing the first phase signal includes providing the offset voltage via a buffer configured to generate the offset voltage via a voltage-divider configured to generate a control voltage based on an input voltage.
 15. The method of claim 14, in which the voltage-divider includes a fixed resistor and a trimmable resistor, the method including setting a resistance value of the trimmable resistor to set an amplitude of the offset voltage that defines a duration of the on-time of the duty-cycle.
 16. The method of claim 12, in which the switching controller includes a comparator configured to generate the switching signal based on a relative amplitude of the capacitor voltage and a reference voltage that is associated with the output voltage.
 17. A power supply system comprising: a power stage including a high-side switch that is activated during an on-time of a duty-cycle based on a switching signal and a low-side switch that is activated during an off-time of the duty-cycle based on the switching signal to generate an output voltage at an output; and a switching controller including: a comparator including a capacitor coupled to a control node, the comparator configured to generate the switching signal based on an amplitude of a capacitor voltage at the control node that defines the on-time of the duty-cycle as a function of the capacitor being periodically charged via a power voltage; and a pre-bias stage configured to apply a pre-bias charge to the capacitor via an offset voltage prior to a start of the on-time to pre-charge capacitance associated with the power supply system prior to the start of the on-time, the pre-bias stage including: a voltage-divider configured to generate a control voltage based on an input voltage; a buffer configured to generate the offset voltage based on the control voltage; and a control switch interconnecting an output of the buffer and a capacitor node and which is activated prior to the start of the on-time to provide the offset voltage to the capacitor node to pre-charge the capacitor.
 18. (canceled)
 19. The system of claim 17, in which the pre-bias stage includes a voltage-divider that includes a fixed resistor and a trimmable resistor, the trimmable resistor having a resistance value that is set to define an amplitude of the offset voltage, in which a duration of the on-time is defined based on the amplitude of the offset voltage.
 20. The system of claim 19, in which the voltage-divider includes a pair of fabrication-matched resistors to generate the control voltage as constant with respect to temperature variations. 